# Vectors in the Plane

1. Introduction to vectors and scalars (8:38) A discussion on vectors and scalars.
2. Recognizing vectors (2:35) Which of the following can represent a vector? Select all that apply.
1. The number 5
2. The angle measure 3. The point 4. The outcome of 3. * Practice: Recognizing vectors. (2 problems)
4. Equivalent vectors (6:36) When are two vectors equivalent.
5. * Practice: Equivalent vectors. (4 problems)
6. Finding the magnitude (3:05) The magnitude of .
7. Scalar multiplication of vectors (5:41) Given that , find and . What do they represent geometrically?
8. * Practice: Scalar multiplication. (4 problems)
9. Adding and subtracting vectors (7:41) Given that and , what are and ?  What do they represent geometrically?
10. Combined vector operations (5:58) Given that and , what are and ? What does it represent geometrically?
11. * Practice: Combined vector operations. (4 problems)
12. Finding unit vector with given direction (5:01) Find a unit vector in the direction of .
13. * Practice: Unit vectors. (4 problems)
14. Direction of a vector (1st and 2nd quadrant) (9:00) Find the directions of and .
15. Direction of a vector (3rd and 4th quadrant) (6:41) Find the directions of and .
16. * Practice: Direction of vectors. (4 problems)